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Finding the Fourth Proportional to 3,643.81, 5,030.17 and 2,848.30

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Solution

The fourth proportional to 3,643.81, 5,030.17 and 2,848.30 is: 3,931.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.81 : 5,030.17 = 2,848.30 : x
  2. Step 2: Convert to fraction form
    3,643.81/5,030.17 = 2,848.30/x
  3. Step 3: Cross multiply
    3,643.81x = 5,030.17 × 2,848.30
  4. Step 4: Simplify right side
    3,643.81x = 14,327,413.51
  5. Step 5: Solve for x
    x = 14,327,413.51/3,643.81
  6. Step 6: Final answer
    x = 3,931.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.